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Finding the Fourth Proportional to 522,678.40, 784,412.16 and 382,799.68

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Solution

The fourth proportional to 522,678.40, 784,412.16 and 382,799.68 is: 574,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,678.40 : 784,412.16 = 382,799.68 : x
  2. Step 2: Convert to fraction form
    522,678.40/784,412.16 = 382,799.68/x
  3. Step 3: Cross multiply
    522,678.40x = 784,412.16 × 382,799.68
  4. Step 4: Simplify right side
    522,678.40x = 300,272,723,836.11
  5. Step 5: Solve for x
    x = 300,272,723,836.11/522,678.40
  6. Step 6: Final answer
    x = 574,488.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.